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Oksana_A [137]
2 years ago
11

What are the next three numbers in this sequence: 7, 16, 25, 34…?

Mathematics
1 answer:
insens350 [35]2 years ago
6 0

Step-by-step explanation:

34 + 9 = 43

43 + 9 = 52

52 + 9 = 61

so next 3 numbers in the given sequence are 43 , 52 and 61

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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
Infants who weigh less than 2,500 grams (5 1/2 pounds) at birth are called
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Low-birthweight i believe.
8 0
3 years ago
Find the slope between the points. (4,-2) and (8,5)
aksik [14]
Slope = m

Equation to find slope is:

m = (y2 - y1) / (x2 - x1)

2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2

So...

m = (y2 - y1) / (x2 - x1)

m = (5 - (-2)) / (8 - 4)

m = 7 / 4 or 1.75

Therefore, the slope of the line is 7/4 OR 1.75.

3 0
3 years ago
The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45. What is
Sloan [31]

The price per shirt is $23.

5 0
3 years ago
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Under her cell phone plan, Autumn pays a flat cost of $48 per month and $5 per gigabyte. She wants to keep her bill at $68.50 pe
VikaD [51]

Answer:

4 gigabytes

Step-by-step explanation:

Equation: 68.50=48+5x

8 0
2 years ago
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